A hydrogen atom is in its ground state and is subject to an external electric field of(adsbygoogle = window.adsbygoogle || []).push({});

E = ε([itex]\hat{x}[/itex]+[itex]\hat{y}[/itex]+2[itex]\hat{z}[/itex])e^{-t/[itex]\tau[/itex]}

I'm confused as to how to compute the matrix elements of the perturbed hamiltonian since this is not in the z direction.

Would I have to do something like this?

H'_{ba}= -pE = -qεe^{-t/[itex]\tau[/itex]}<[itex]\psi[/itex]_{b}|([itex]\hat{x}[/itex]+[itex]\hat{y}[/itex]+2[itex]\hat{z}[/itex])|[itex]\psi[/itex]_{a}>

Thanks

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# Homework Help: Transition Probability of Hydrogen atom in an electric field

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